Least Common Multiple of 26/144, 312/456, 783/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/144, 312/456, 783/821 quickly i.e. 81432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/144, 312/456, 783/821 is 81432.

LCM(26/144, 312/456, 783/821) = 81432

LCM of 26/144, 312/456, 783/821

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 26/144,312/456,783/821

Given numbers are 26/144,312/456,783/821

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 26,312,783

Least Common Multiple of Numerators i.e. LCM of 26,312,783 is 81432.

GCF of Denominators means GCF of 144,456,821 as per the given fractions.

GCF of 144,456,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,312,783

LCM of Fractions 26/144,312/456,783/821 is 81432

2 26, 312, 783
3 13, 156, 783
13 13, 52, 261
1, 4, 261

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 4 x 261 = 81432

Least Common Multiple of 26,312,783 with GCF Formula

Least Common Multiple of 26,312,783 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 26,312,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,312,783) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(26,312,783) x common factors =1 x 78 = 78

LCM(26,312,783) = ( 26 × 312 × 783 ) / 78

LCM(26,312,783) = 6351696 / 78

LCM(26,312,783) = 81432


Lets's calculate GCF of 144,456,821

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81432/1

Therefore the LCM of Fractions 26/144,312/456,783/821 is 81432

Greatest Common Factor of 144,456,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,456,821 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 144,456,821 . The biggest common factor number is the GCF number.
So the greatest common factor 144,456,821 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 26/144, 312/456, 783/821

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 26/144, 312/456, 783/821?

Answer: LCM of Numerators as per given numbers 26/144, 312/456, 783/821 is

LCM of Numerators i.e. for 26,312,783 is 81432

GCF of denominators i.e. for 144,456,821 is 1.

Thus, LCM of Fractions is 81432.Finally, LCM of Fractions for 26/144, 312/456, 783/821 is 81432.